112893200 has 120 divisors (see below), whose sum is σ = 323634048. Its totient is φ = 37002240.

The previous prime is 112893199. The next prime is 112893251. The reversal of 112893200 is 2398211.

It is a self number, because there is not a number n which added to its sum of digits gives 112893200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63524 + ... + 65276.

Almost surely, 2^112893200 is an apocalyptic number.

112893200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112893200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161817024).

112893200 is an abundant number, since it is smaller than the sum of its proper divisors (210740848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112893200 is a wasteful number, since it uses less digits than its factorization.

112893200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 112893200 is about 10625.1211757796. The cubic root of 112893200 is about 483.3064537833.

The spelling of 112893200 in words is "one hundred twelve million, eight hundred ninety-three thousand, two hundred".